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Simplifying -4(v + 8) = -22 + -6v Reorder the terms: -4(8 + v) = -22 + -6v (8 * -4 + v * -4) = -22 + -6v (-32 + -4v) = -22 + -6v Solving -32 + -4v = -22 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. -32 + -4v + 6v = -22 + -6v + 6v Combine like terms: -4v + 6v = 2v -32 + 2v = -22 + -6v + 6v Combine like terms: -6v + 6v = 0 -32 + 2v = -22 + 0 -32 + 2v = -22 Add '32' to each side of the equation. -32 + 32 + 2v = -22 + 32 Combine like terms: -32 + 32 = 0 0 + 2v = -22 + 32 2v = -22 + 32 Combine like terms: -22 + 32 = 10 2v = 10 Divide each side by '2'. v = 5 Simplifying v = 5
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